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84260096 = 28472149
BaseRepresentation
bin1010000010110…
…11010100000000
312212112212010022
411001123110000
5133032310341
612205553012
72042125154
oct501332400
9185485108
1084260096
1143620948
1224275768
13145c245b
14b295064
1575e5e4b
hex505b500

84260096 has 54 divisors (see below), whose sum is σ = 172999050. Its totient is φ = 40956928.

The previous prime is 84260053. The next prime is 84260119. The reversal of 84260096 is 69006248.

It can be written as a sum of positive squares in only one way, i.e., 56550400 + 27709696 = 7520^2 + 5264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 565430 + ... + 565578.

Almost surely, 284260096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86499525).

84260096 is an abundant number, since it is smaller than the sum of its proper divisors (88738954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84260096 is an equidigital number, since it uses as much as digits as its factorization.

84260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 84260096 is about 9179.3298230317. The cubic root of 84260096 is about 438.4034702338.

The spelling of 84260096 in words is "eighty-four million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 149 188 256 298 376 596 752 1192 1504 2209 2384 3008 4418 4768 6016 7003 8836 9536 12032 14006 17672 19072 28012 35344 38144 56024 70688 112048 141376 224096 282752 329141 448192 565504 658282 896384 1316564 1792768 2633128 5266256 10532512 21065024 42130048 84260096